Abstract

For many performance-critical control systems, an accurate (simple) model is not available in practice. Thus, designing controllers with formal performance guarantees is challenging. In this paper, we develop a framework to use input-output data from an unknown system to synthesize controllers from signal temporal logic (STL) specifications. First, by imposing mild assumptions on system continuity, we find a set-valued piecewise affine (PWA) model that contains all the possible behaviors of the concrete system. Next, we introduce a novel method for STL control of PWA systems with additive disturbances. By taking advantage of STL quantitative semantics, we provide lower-bound certificates on the degree of STL satisfaction of the closed-loop concrete system. Illustrative examples are presented.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.